Journal article icon

Journal article

A preconditioner for the Ohta--Kawasaki equation

Abstract:
We propose a new preconditioner for the Ohta–Kawasaki equation, a nonlocal Cahn– Hilliard equation that describes the evolution of diblock copolymer melts. We devise a computable approximation to the inverse of the Schur complement of the coupled second-order formulation via a matching strategy. The preconditioner achieves mesh independence: as the mesh is refined, the number of Krylov iterations required for its solution remains approximately constant. In addition, the preconditioner is robust with respect to the interfacial thickness parameter if a timestep criterion is satisfied. This enables the highly resolved finite element simulation of three-dimensional diblock copolymer melts with over one billion degrees of freedom.
Publication status:
Published
Peer review status:
Peer reviewed

Actions

  • Cite

  • Print

Access Document

Files:
Publisher copy:
10.1137/16M1065483

Authors

More by this author
Institution:
University of Oxford
Oxford college:
Christ Church
Role:
Author

More from this funder
Grant:
Center of Excellence grant to Center for Biomedical Computing at Simula Research Laboratory

Publisher:
Society for Industrial and Applied Mathematics
Journal:
SIAM Journal on Matrix Analysis and Applications More from this journal
Volume:
38
Issue:
1
Pages:
217–225
Publication date:
2017-03-21
Acceptance date:
2016-12-03
DOI:
EISSN:
1095-7162
ISSN:
0895-4798

Keywords:
Pubs id:
pubs:665389
UUID:
uuid:2b8b5040-8a6d-4b3f-a063-d1374d8782ee
Local pid:
pubs:665389
Source identifiers:
665389
Deposit date:
2016-12-13

Terms of use

Views and Downloads





If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP